1 Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. (x) = 4x2 - 5x + 4 Falls to the left, rises to the right. Falls to the left, falls to the right. Rises to the left, rises to the right. Rises to the left, falls to the right. Falls to the left. 5 points Question 2 Describe the right-hand and the left-hand behavior of the graph of t(x) = 4x5 - 7x3 - 13 Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right. Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right. Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right. Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right. Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right. 5 points Question 3 Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. (x) = 3 - 5x + 3x2 - 5x3 Falls to the left, rises to the right. Falls to the left, falls to the right. Rises to the left, rises to the right. Rises to the left, falls to the right. Falls to the left. 5 points Question 4 Select from the following which is the polynomial function that has the given zeroes. 2,-6 f(x) = x2 - 4x + 12 f(x) = x2 + 4x + 12 f(x) = -x2 -4x - 12 f(x) = -x2 + 4x - 12 f(x) = x2 + 4x - 12 5 points Question 5 Select from the following which is the polynomial function that has the given zeroes. 0,-2,-4 f(x) = -x3 + 6x2 + 8x f(x) = x3 - 6x2 + 8x f(x) = x3 + 6x2 + 8x f(x) = x3 - 6x2 - 8x f(x) = x3 + 6x2 - 8x 5 points Question 6 Sketch the graph of the function by finding the zeroes of the polynomial. f(x) = 2x3 - 10x2 + 12x 0,2,3 0,2,-3 0,-2,3 0,2,3 0,-2,-3 5 points Question 7 Select the graph of the function and determine the zeroes of the polynomial. f(x) = x2(x-6) 0,6,-6 0,6 0,-6 0,6 0,-6 5 points Question 8 Use the Remainder Theorem and Synthetic Division to find the function value. g(x) = 3x6 + 3x4 - 3x2 + 6, g(0) 6 3 -3 8 7 5 points Question 9 Use the Remainder Theorem and Synthetic Division to find the function value. f(x) = 3x3 - 7x + 3, f(5) -343 343 345 340 344 5 points Question 10 Use the Remainder Theorem and Synthetic Division to find the function value. h(x) = x3 - 4x2 - 9x + 7, h(4) -28 -27 -31 -25 -29 5 points Question 11 Use synthetic division to divide: (3x3 - 24x2 + 45x - 54) (x-6) 6x2 - 3x - 9, x 6 6x2 -3x - 9, x 6 3x2 - 6x + 9, x 6 3x2 - 6x - 9, x 6 3x2 + 6x + 9, x 6 5 points Question 12 Use synthetic division to divide: (x3 - 27x + 54) (x - 3) x2 + 3x - 18, x 3 x2 - 3x - 27, x 3 x2 + 9x + 18, x 3 x2 + 9x - 6, x 3 x2 + 6x + 9, x 3 5 points Question 13 Use synthetic division to divide: (4x3 - 9x + 16x2 - 36) (x + 4) 4x2 - 9, x -4 4x2 + 9, x -4 -4x2 - 9, x -4 4x3 - 9, x -4 4x3 + 9, x -4 5 points Question 14 Use synthetic division to divide: 5x2 + 45x + 25, x 1/5 16x2 + 80x + 20, x 1/5 100x2 + 45x + 400, x 1/5 20x2 + 180x + 400, x 1/5 4x2 + 21x + 20, x 1/5 5 points Question 15 Find all of the zeroes of the function. (x - 3)(x + 9)3 -3,9 3,9 -3,-9 -3,3,9 3,-9 5 points Question 16 Find all the rational zeroes of the function. x3 - 12x2 + 41x - 42 -2, -3, -7 2, 3, 7 2, -3, 7 -2, 3, 7 -2, 3, -7 5 points Question 17 Determine all real zeroes of f. f(x) = x3 + x2 - 25x - 25 -5,1,0 5,0,-5 -5,-1,5 -5,0,0 5,-1,0 5 points Question 18 The height, h(x), of a punted rugby ball is given by where x is the horizontal distance in feet from the point where the ball is punted. How far, horizontally, is the ball from the kicker when it is at its highest point? 28 feet 13 feet 18 feet 23 feet 16 feet 5 points Question 19 The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model. P(x) = 230 + 40x - 0.5x2 What expenditure for advertising will yield a maximum profit? 40 0.5 230 20 115 5 points Question 20 The total revenue R earned per day (in dollars) from a pet-sitting service is given by R(p) = -10p2 + 130p where p is the price charged per pet (in dollars). Find the price that will yield a maximum revenue. $7.5 $6.5 $8.5 $9.5 $10.5